Finding the Fourth Proportional to 198.21, 297.19 and 106.68
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Solution
The fourth proportional to 198.21, 297.19 and 106.68 is: 159.95
Step by Step Solution
- Step 1: Write the proportion equation
198.21 : 297.19 = 106.68 : x - Step 2: Convert to fraction form
198.21/297.19 = 106.68/x - Step 3: Cross multiply
198.21x = 297.19 × 106.68 - Step 4: Simplify right side
198.21x = 31,704.23 - Step 5: Solve for x
x = 31,704.23/198.21 - Step 6: Final answer
x = 159.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.